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The height of the tree is in direct proportion to the pole and its shadow

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Q: How is a tree that casts a 28-ft shadow at the same time a 4-ft pole casts a shadow which is 9-ft long?
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How high is a tree that casts a 37 ft shadow at the same time a 4foot pole casts a 12 foot shadow?

It works out as 12 feet and 4 inches in height


How tall is a flag pole that casts an 18 ft shadow at the same time that a 6 ft man casts a 4 ft shadow?

We can solve this problem using a ratio. Since a 6 foot man casts a 4 foot shadow we can write this ratio as 6:4. If we reduce this ratio we get 3:2. Now we're stating that for every 3 feet of height, the shadow cast will be 2 feet.Now we can work our problem out using a small table:3 feet of flag pole = 2 feet of shadow6 feet of flag pole = 4 feet of shadow9 feet of flag pole = 6 feet of shadow12 feet of flag pole = 8 feet of shadow15 feet of flag pole = 10 feet of shadow18 feet of flag pole = 12 feet of shadowTherefore an 18 foot flag pole will cast a 12 foot shadow at the same time that a 6 foot man casts a 4 foot shadow.


A vertical pole 5 feet long casts a shadow of 2 feet if at the same time a nearby tree casts a shadow of 10 feet how tall is the tree?

The tree is 25 feet tall. A 5 foot pole cast a 2 foot shadow. This means that the sun angle causes the shadow to be 2/5 the length of the object casting it. The tree's shadow is 10 feet tall. Multiply 10 feet by 5/2 (inverting the fraction because we're going the other way) and we get 25 feet.


What is the angle of elevation of the sun with the ground when the pole 7.6 meters casts a shadow 6.1 meters long?

Required angle has a tangent of 7.6/6.1 ie 1.249. This is 51.25 degrees.


A pole that is 2.6m tall casts a shadow that is 1.51m long At the same time a nearby building casts a shadow that is 42.25m long round your answer to the nearest meter How tall is the building?

Let x = the height of the building. So we have, x/2.6 = 42.25/1.51 x = (2.6)(42.25)/1.51 x =72.75 Thus, the building is 72.75 meter tall.

Related questions

What is the length of the shadow cast by a 63 foot high pole if a 27 foot high pole casts an 18 foot shadow?

If a 27 ft tall pole casts an 18 foot shadow, a 63 ft tall pole casts an x foot shadow.Put 27/18 and 63/x.Cross multiply, get 27x=1134Divide by 27 on both sides, a 63 foot tall pole casts a 42 foot long shadow.


How tall is a tree that casts a 30 ft shadow at the same time an 18 ft pole casts a shadow that is 6 feet long?

It is 90 feet in height


If a tree 10 feet tall casts a shadow 5 feet long how long is the shadow cast by a pole 12 feet tall?

6 feet


A vertical pole five feet long casts a shadow of 2 feet if at the same time a nearby tree casts a shadow of 10 feet how tall is the tree?

25 feet tall


At 1100 am a one meter high mailbox casts a 0.4 meter shadow If a pole beside the mailbox casts a 16-meter shadow how tall is that pole?

40 meters


How long is the shadow if a nearby 10-foot tall basketball hoop casts a 7-foot shadow?

3


How high is a tree that casts a 33 ft shadow at the same time a 5 ft pole casts a shadow which is 12 ft long?

(12 / 5) × 33 = 79.2 feet high Divide the pole shadow by the pole height: (12 / 5) = 2.4 feet Times the 2.4 by the tree shadow of 33 feet: 2.4 x 33 = 79.2


What is the height of a telephone pole that casts a shadow of 15 feet if a 6 foot tall man casts a shadow of 3.5 feet?

2


How high is a tree that casts a 63 ft shadow at the same time a 21ft pole casts a shadow which is 21 ft long?

The shadow:object ratio is 1:1 so the tree is 63 feet high.


How high is a tree that cast a 24-foot shadow at the same time a 8-foot pole casts a shadow which is 11-foot long?

17.45 feet.


How tall is a tree that casts a 25 foot shadow at the same time a 9 foot light pole casts a 15 foot shadow?

15 feet high


How high is a tree that casts a 37 ft shadow at the same time a 4foot pole casts a 12 foot shadow?

It works out as 12 feet and 4 inches in height